Kind of project (3)
I believe the answer is:
pet
'kind of project' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for pet that I've seen before include "The darling one in a small temper" , "Favourite, perhaps a domestic animal" , "Favourite, favoured one" , "Cherished favourite" , "blue-eyed boy?" .)